Maths Exam

1. Simplify 1

Simplify the following expression: $$ \left(-2 + 6 - \left(1 + 1\right)\right)2\left(-4 - 4\right) $$
Correct Answer
$$ -32$$ or -32.0000

2. Simplify 2

Simplify the following expression: $$ \frac{2\times3(-5)}{\left(1 + -6\right)\frac{2}{3}} $$
Correct Answer
$$ 9$$ or 9.00000

3. Fractions 1

Simplify the following expression: $$ \frac{1}{6} + \frac{-5}{2} $$
Correct Answer
$$ \frac{-7}{3}$$ or -2.3333333333333335

4. Fractions 2

Simplify the following expression: $$ \frac{\frac{3}{5}}{\frac{-2}{4}} $$
Correct Answer
$$ \frac{-6}{5}$$ or -1.2

5. Significant figures

1. Write the following to 3 significant figures: 0.000039715831
Correct Answer
0.0000397 or $$3.97\times10^{-5}$$
2. Write the following to 4 significant figures: 46.384609
Correct Answer
46.38 or $$4.638\times10^{1}$$

6. Standard Form

1. Write the following in standard form to 5 significant digits: 0.0000469476
Correct Answer
$$4.6948\times10^{-5}$$
2. Write the following in standard form to 2 significant digits: 0.000433081
Correct Answer
$$4.3\times10^{-4}$$

7. Significant figures

1. Write the following in preferred standard form to 3 significant digits: 16.518
Correct Answer
$$16.5\times10^{0}$$
2. Write the following in preferred standard form to 2 significant digits: 0.00914
Correct Answer
$$9.1\times10^{-3}$$

8. Simplify 2

Simplify the following expression: $$ {\left(2\left(-2 - 4\right)\right)}^{\left(-3 - 1 - \left(5 + 5\right)\right)} $$
Correct Answer
$$ {12}^{-14}$$ or 0.000000000000000778866

9. Simplify 1

Simplify the following expression: $$ 2(-4)(-5)\left(1 + 3 - -2\times6\right) $$
Correct Answer
$$ 640$$ or 640.000

10. Simplify 2

Simplify the following expression: $$ \frac{{\left(-6 + -3\right)}^{2}}{\frac{4}{6}\left(-2 - 1\right)} $$
Correct Answer
$$ \frac{-81}{2}$$ or -40.5000


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